Thus, we set the initial estimate as x 0 = max s s + 2 s c, F − 1 s s s i if s i ≠ 0 s s + 2 s c otherwise.
Then det ( s F − G ) = ( s − 1 2 ) s ( s − 1 4 ) and the pencil is regular.
which is equivalent to y s = y 1 s ⋮ y P s = α G 1 s H 1 s s 1 ⋮ α G P s H 1 s s P + w s. (51).
Now, making an appropriate change of variables s = e−αt, where s ∊ (0, 1), we obtain d 2 ψ n s d s 2 + 1 − s s 1 − s d ψ n s ds + 1 α 2 s 2 1 − s 2 ξ n − d 1 − s 2 + 2 dbs 1 − s − d b 2 s 2 ψ n s = 0, Open image in new window (13).
The set s is divided into two subsets: s d and s s s = { s 1, s 2, …, s n d ⏟ s d, s n d + 1, s n d + 2, …, s K ⏟ s s }, (19).
The standard calculation method for normal statistics is provided below: Z = S - 1 var S, S > 0 0, S = 0 S + 1 var S, S < 0. (4).
For low field variable temperature measurements, single pulse experiments with recycle delays of 0.1 s, 0.2 s, 0.5 s, 1 s, 2 s, and 5 s.
When H2O is used as an oxidant, ALD sequence was composed of 0.5 s La iPrCp 3 pulse/6 s purge with N2/0.5 s H2O pulse/8 s purge with N2 and 0.1 s TMA pulse/3 s purge with N2/0.1 s H2O pulse/4 s purge with N2.
Slice selective T1 mapping was measured with a single slice partial saturation inversion recovery RARE sequence (TI of 0.02 s, 0.5 s, 1.0 s, 1.5 s, 2.0 s, 3.0 s, 5.0 s, 10.0 s).
Spectral analysis was performed on two 1 s data segments (−1 s to 0 s and 0.5 s to 1.5 s) after applying Hanning tapers.
